I mean let's face it if a woman leaves her front door she could die in traffic. Or be hit by lightening, or die in a load of different ways.
Men get injured playing sports with men. Women could be injured playing sports with women. So in making previously single sex sports mixed sex we might technically be going from a situation where a woman being killed or injured 'could happen' to another situation where a woman being killed or injured 'could happen' it's just that's not particularly helpful analysis. Our point I think is that we said (and are saying) that if a sport is not safe to do mixed sex, then injuries to women will become more common, and more severe. And the prevalence and severity of such injuries will be a factor in causing women and girls to self exclude from sports (alongside other issues of privacy, dignity and fairness.)
If it is safe enough to do mixed sex that's a different matter but I don't think you can include or exclude people based on their gender identity.